Our interest in the study of \(Sp(4)\)  gauge theories arises from the contexts of CHMs [1]}, [2]}, [3]}. References [4]}, [5]} show that the \(Sp(4)\)  gauge theory with two fermionic fields in fundamental and three in 2-index antisymmetric representations is a CHM candidate with \(SU(4)/Sp(4)\)  coset. It is the minimal model containing 5 pseudo Nambu-Goldstone bosons; 4 of them can be interpreted as the Higgs doublet in the Standard Model (SM) and 1 can be made heavy. An exotic object, called chimera baryon, can mix with the standard model top quark, providing mass to the latter through partial compositeness. This mechanism for generating the top mass was firstly introduced in Ref. [6]}. The first lattice study of chimera baryons was presented in Ref. [7]} for a \(SU(4)\)  gauge theory.
